rewrite each pair of fractions using the least common denominator 5/6 2/5

Answer:

B

Step-by-step explanation:

We are given that Expression One is:

[tex]2\cdot 10^x[/tex]

And Expression Two is:

[tex]4\cdot 10^{x+y}[/tex]

We are given that the value of Expression Two is 20,000 times greater than the value of Expression One. And we want to find the value of y. In other words:

[tex]4\cdot 10^{x+y}=20000(2\cdot 10^x)[/tex]

We can divide both sides by four:

[tex]10^{x+y}=10000\cdot 10^x[/tex]

Recall that:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

Therefore:

[tex]10^x\cdot 10^y=10000\cdot 10^x[/tex]

Divide both sides by 10ˣ:

[tex]10^y=10000[/tex]

Solve for y:

[tex]\displaystyle y = \log_{10}10000 = 4[/tex]

Our answer is B.

Answer:

Step-by-step explanation:

answer is   [tex](11010)_{2}[/tex]

Answer:

the answer is D / 7^16...

Answer:

there are no functions her pls add them for an answer:)

Step-by-step explanation:

Answer:

It's answer is 2....

...

Answer:

3x + 4/2 + 5 ( x - 3 ) = 3/1

or, 3x + 4/2 + 5 x - 15 = 3/1

or, 3x + 5x - 15 = 3/1 -4/2

or, 8x - 15 = 6-2/2

or, 8x -15 = 4/2

or, 8x = 2 +15

or, x = 17/8

or, x = 2.125

hope it is helpful to you ☺️

Answer:

Step-by-step explanation:

take x as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 20 / 36

sin x = 0.55

x = [tex]sin^{-1} (0.55)[/tex]

x = 33.36

x = 33.4 degree

Answer:

See Below.

Step-by-step explanation:

We want to verify the identity:

[tex]\displaystyle \csc^2 x -2\csc x \cot x +\cot ^2 x = \tan^2\left(\frac{x}{2}\right)[/tex]

Note that the left-hand side is a perfect square trinomial pattern. Namely:

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

If we let a = csc(x) and b = cot(x), we can factor it as such:

[tex]\displaystyle (\csc x - \cot x)^2 = \tan^2\left(\frac{x}{2}\right)[/tex]

Let csc(x) = 1 / sin(x) and cot(x) = cos(x) / sin(x):

[tex]\displaystyle \left(\frac{1}{\sin x}-\frac{\cos x }{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]

Combine fractions:

[tex]\displaystyle \left(\frac{1-\cos x}{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]

Square (but do not simplify yet):

[tex]\displaystyle \frac{(1-\cos x)^2}{\sin ^2x}=\tan^2\left(\frac{x}{2}\right)[/tex]

Now, we can make a substitution. Let u = x / 2. So, x = 2u. Substitute:

[tex]\displaystyle \frac{(1-\cos 2u)^2}{\sin ^22u}=\tan^2u[/tex]

Recall that cos(2u) = 1 - sin²(u). Hence:

[tex]\displaystyle \frac{(1-(1-2\sin^2u))^2}{\sin ^2 2u}=\tan^2u[/tex]

Simplify:

[tex]\displaystyle \frac{4\sin^4 u}{\sin ^2 2u}=\tan^2 u[/tex]

Recall that sin(2u) = 2sin(u)cos(u). Hence:

[tex]\displaystyle \frac{4\sin^4 u}{(2\sin u\cos u)^2}=\tan^2 u[/tex]

Square:

[tex]\displaystyle \frac{4\sin^4 u}{4\sin^2 u\cos ^2u}=\tan^2 u[/tex]

Cancel:

[tex]\displaystyle \frac{\sin ^2 u}{\cos ^2 u}=\tan ^2 u[/tex]

Since sin(u) / cos(u) = tan(u):

[tex]\displaystyle \left(\frac{\sin u}{\cos u}\right)^2=\tan^2u=\tan^2u[/tex]

We can substitute u back for x / 2:

[tex]\displaystyle \tan^2\left(\frac{x}{2}\right)= \tan^2\left(\frac{x}{2}\right)[/tex]

Hence proven.

Answer:

I need help on this to anyone please

Step-by-step explanation:

14 gallons bought for $34.72

1 gallon bought for

[tex] \frac{34.72}{14} [/tex]

=$2.48

Answer:

Option B

Step-by-step explanation:

After each round of the tournament one-fourth players are eliminated.

That means the process of elimination will represent the exponential decay.

Equation of exponential decay is given by the expression,

[tex]y=a(1-r)^n[/tex]

Here, a = Initial number of players

r = Fraction of reduction in the number of players

y = Final number of players

n = Number of rounds

In the given question,

Initial number of the players (a) = 64

Fraction of reduction in the number of players (r) = [tex]\frac{1}{4}[/tex]

                                                                             = 0.25

Number of rounds (n) = 6

By substituting these values in the expression,

[tex]y=64(1-0.25)^6[/tex]

Therefore, Option B is the answer.

Answer:

61.9°

Step-by-step explanation:

tan p = opposite/ adjacent

tan p = 15/8

[tex]tan^{-1}[/tex] (15/8)

Answer:

250,000 cm squared

Step-by-step explanation:

Answer:

Write function:

y = 3x+4

The slope is what we time x by, 3!

Answer:

B

Step-by-step explanation:  6 21  9 45

49 × 17 + 49 × 3

49 × (17 + 3)

49 × 20

Answer:

[tex]4(2 + y)[/tex]

Step-by-step explanation:

"4 times the sum of 2 and y".

Answer:

The answer is 4(2+y)

Explanation: No 1 is 4 times two and add 1

No 3 is 2 plus 4 and multiply y

No 4 is 2 times 4 and adds 2 y

Answer:

Edi wow kasi pogi ako whahahhahahaha

Answer:

B

Step-by-step explanation:

82*24 = 1968

1968 - 1560 = 408

Answer:

Option A = 1/15 cubic meters

Step-by-step explanation:

Formule to find volume of rectangular prism:

Volume = width × height × length

V = w×h×l

V = 1/3 × 1/4 × 4/5

V = 1/15 cubic meters

Answer:

39,810,717.06

Step-by-step explanation:

Question:

What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.

Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.

The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.

A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.

It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.

Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.

To know more about Richter scale. here

https://brainly.com/question/24037139

#SPJ2

Answer:

6x+10 i think is right(sorry if its not)

Answer:

5

Step-by-step explanation:

4x-3=2x+7

-2x -2x

2x-3=7

+3 +3

2x=10

2x/2x = x

10/2=5

x=5

Answer:

( √ 5 ) ( √ 5 ) 3

5*3

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

( √ 5 ) x ( 3 √ 5 )

=> 3  ( √ 5 x √5)

=> 3 x ( √25)

=> 3 x 5

=> 15

Answer:

(-6, 8)

Draw the point, draw the lines of reflection, reflect, find coordinates.

Answer:

vertex = (- 2, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 4x ← is in standard form

with a = 1, b = 4, c = 0 , then

x = - [tex]\frac{4}{2}[/tex] = - 2

Substitute x = - 2 into the equation for corresponding value of y

y = (- 2)² + 4(- 2) = 4 - 8 = - 4

vertex = (- 2, - 4 )

Answer:

h(x) is the image after f(x) is horizontally stretched by a scale factor of 4

Step-by-step explanation:

Given

[tex]h(x) = \frac{1}{4}x^2[/tex]

[tex]f(x) = x^2[/tex]

Required

Compare h(x) to f(x)

We have:

[tex]h(x) = \frac{1}{4}x^2[/tex]

Substitute [tex]f(x) = x^2[/tex]

[tex]h(x) = \frac{1}{4}f(x)[/tex]

This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)

Answer:

since these triangles are the same these angle must be the same

A=D

B=E

C=F

so the answer is C

Hope This Helps!!!

Answer:

7 over 2x-2

Step-by-step explanation:

Answer:

g^-1 •7

7g^-1

7•1/g

answer is 7/g

I hoped I helped!! :)

Answer:

C) [tex]sin\theta+cos\theta[/tex]

Step-by-step explanation:

[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]

[tex]sin\theta+cos\theta[/tex]

Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]

Answer:

C

Step-by-step explanation:

To start this problem off, we should know an important trig rule:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

From here, it is simple:

[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]

C

I hope this helps! Let me know if you have any questions :)

Answer:

In this case, we have a linear equation:

y = 3*x - 2

And we want to graph this in the interval  –3 ≤ x ≤ 3

Because this is a linear equation, to graph it we can just evaluate the equation in both extremes of the interval to find the two extremes of the graph.

Then we just need to connect these points with a segment, and that will be the graph of our equation.

Because the symbols used are: ≤

We need to graph the extremes with a black dot, which means that the point is included in the graph (would be different if we had -3 < x < 3)

The first extreme is when we have x = -3

y = 3*(-3) - 2 = -9 - 2 = -11

Then we have one extreme at (-3, -11)

The other is when x = 3

y = 3*3 - 2 = 9 - 2 = 7

Then the other extreme is at (3, 7)

Now we just need to draw these two points and connect them, an example of this can be seen in the image below:

Answer:

Step-by-step explanation:

This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!

The formula to find h is

[tex]h=\frac{-b}{2a}[/tex] and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:

[tex]h=\frac{-96}{2(-16)}[/tex] so

h = 3

At 3 seconds the max height of 150 feet is reached.

Answer:

O Addition Property

Step-by-step explanation:

Addition property: adding or subtracting the same number on both sides does not change the inequality.